Calibration of an ellipse's algebraic equation and direct determination of its parameters

Ali Said, Mohamed (2003) Calibration of an ellipse's algebraic equation and direct determination of its parameters. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (2). pp. 221-225. ISSN 0866-0174

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Abstract

The coefficients of an ellipse’s algebraic equation are not unique. Multiplying these coefficients by a number δ 6= 0 does not affect the ellipse’s shape. In this paper it is shown that at a certain δ , called calibration number, direct relations between the coefficients and the parameters of the ellipse are found. This value of δ is found and is shown to be invariant. Useful results concerning invariants of an ellipse’s equation are found using calibration.

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